| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
The total water usage for a city is 25,000 gallons each day. Of that total, 12% is for personal use and 30% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
| 7,249 | |
| 3,000 | |
| 9,300 | |
| 4,500 |
30% of the water consumption is industrial use and 12% is personal use so (30% - 12%) = 18% more water is used for industrial purposes. 25,000 gallons are consumed daily so industry consumes \( \frac{18}{100} \) x 25,000 gallons = 4,500 gallons.
Find the average of the following numbers: 10, 8, 12, 6.
| 6 | |
| 9 | |
| 76 | |
| 5 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{10 + 8 + 12 + 6}{4} \) = \( \frac{36}{4} \) = 9
What is \( \frac{-3y^7}{2y^4} \)?
| -1\(\frac{1}{2}\)y3 | |
| -1\(\frac{1}{2}\)y-3 | |
| -1\(\frac{1}{2}\)y\(\frac{4}{7}\) | |
| -1\(\frac{1}{2}\)y28 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-3y^7}{2y^4} \)
\( \frac{-3}{2} \) y(7 - 4)
-1\(\frac{1}{2}\)y3
What is the distance in miles of a trip that takes 2 hours at an average speed of 70 miles per hour?
| 140 miles | |
| 220 miles | |
| 120 miles | |
| 240 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 70mph \times 2h \)
140 miles
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Alex buys two shirts, each with a regular price of $40, how much money will he save?
| $10.00 | |
| $18.00 | |
| $20.00 | |
| $16.00 |
By buying two shirts, Alex will save $40 x \( \frac{50}{100} \) = \( \frac{$40 x 50}{100} \) = \( \frac{$2000}{100} \) = $20.00 on the second shirt.